A level set method to reconstruct the discontinuity of the conductivity in EIT  

作　　者：CHEN WenBin CHENG Jin LIN JunShan WANG LiFeng 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [2]Department of Mathematics,Michigan State University,East Lansing,MI 48824,USA

出　　处：《Science China Mathematics》2009年第1期29-44,共16页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10431030, 10771138);the Shanghai Natural Science Foundation (Grant No. 07JC14001);the National Basic Research Program (GrantNo. 2005CB321701);Ministry of Education of China and State Administration of Foreign Experts Affairsof China under an 111 project (Grant No. B08018)

摘　　要：In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is efficient and stable.In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is effcient and stable.

关 键 词：EIT reconstruction algorithm level set method 34K29 35J05 

分 类 号：O175[理学—数学]